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Afina-wow [57]
3 years ago
11

Reduce to simplest form.

Mathematics
1 answer:
BigorU [14]3 years ago
8 0
Convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5 
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.
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In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

8 0
3 years ago
(5x^2−3x−2)−(−2x^2−x+10)<br> Express the answer in standard form
masha68 [24]

Answer:

7x2−2x−12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A professor finds that the average SAT score among all students attending his college is 1150 ± 150 (μ ± σ). He polls his class
solniwko [45]

Answer:

Step-by-step explanation

Hello!

Be X: SAT scores of students attending college.

The population mean is μ= 1150 and the standard deviation σ= 150

The teacher takes a sample of 25 students of his class, the resulting sample mean is 1200.

If the professor wants to test if the average SAT score is, as reported, 1150, the statistic hypotheses are:

H₀: μ = 1150

H₁: μ ≠ 1150

α: 0.05

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~~N(0;1)

Z_{H_0}= \frac{1200-1150}{\frac{150}{\sqrt{25} } } = 1.67

The p-value for this test is  0.0949

Since the p-value is greater than the level of significance, the decision is to reject the null hypothesis. Then using a significance level of 5%, there is enough evidence to reject the null hypothesis, then the average SAT score of the college students is not 1150.

I hope it helps!

7 0
3 years ago
People please help me in this math homework
viktelen [127]
For the last 2 questions,

1. 9/10
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3 years ago
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What does 3rd person omniscient mean
mojhsa [17]
The third-person omniscient<span> point of view is a method of storytelling in which the narrator knows the thoughts and feelings of all of the characters in the story, as opposed to </span>third-person<span> limited, which adheres closely to one character's -- usually the main character's -- perspective.</span>
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